211222010112 has 144 divisors (see below), whose sum is σ = 583311748992. Its totient is φ = 67797319680.

The previous prime is 211222010101. The next prime is 211222010137. The reversal of 211222010112 is 211010222112.

211222010112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211222010112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222010091 and 211222010100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2718037 + ... + 2794667.

Almost surely, 2^211222010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291655874496).

211222010112 is an abundant number, since it is smaller than the sum of its proper divisors (372089738880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211222010112 is an equidigital number, since it uses as much as digits as its factorization.

211222010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76784 (or 76770 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211222010112 its reverse (211010222112), we get a palindrome (422232232224).

The spelling of 211222010112 in words is "two hundred eleven billion, two hundred twenty-two million, ten thousand, one hundred twelve".